Complete projective connections

Mathematics – Differential Geometry

Scientific paper

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29 pages, no figures, v.2 minor changes, added reference to Kuiper, v.3 minor corrections, v.4 added reference to Tanaka and S

Scientific paper

The first examples of complete projective connections are uncovered: normal
projective connections on surfaces whose geodesics are all closed and embedded
are complete, as are normal projective connections induced from complete affine
connections with slowly decaying positive Ricci curvature.

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